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Finding the Fourth Proportional to 156.09, 215.49 and 97.95

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Solution

The fourth proportional to 156.09, 215.49 and 97.95 is: 135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.09 : 215.49 = 97.95 : x
  2. Step 2: Convert to fraction form
    156.09/215.49 = 97.95/x
  3. Step 3: Cross multiply
    156.09x = 215.49 × 97.95
  4. Step 4: Simplify right side
    156.09x = 21,107.25
  5. Step 5: Solve for x
    x = 21,107.25/156.09
  6. Step 6: Final answer
    x = 135.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.